Book contents
- Frontmatter
- Contents
- Preface
- Notation
- 1 Definition of ζ(s), Z (t) and basic notions
- 2 The zeros on the critical line
- 3 The Selberg class of L-functions
- 4 The approximate functional equations for ζk(s)
- 5 The derivatives of Z(t)
- 6 Gram points
- 7 The moments of Hardy's function
- 8 The primitive of Hardy's function
- 9 The Mellin transforms of powers of Z(t)
- 10 Further results on ℳk(s) and Zk(s)
- 11 On some problems involving Hardy's function and zeta-moments
- References
- Author index
- Subject index
5 - The derivatives of Z(t)
Published online by Cambridge University Press: 05 November 2012
- Frontmatter
- Contents
- Preface
- Notation
- 1 Definition of ζ(s), Z (t) and basic notions
- 2 The zeros on the critical line
- 3 The Selberg class of L-functions
- 4 The approximate functional equations for ζk(s)
- 5 The derivatives of Z(t)
- 6 Gram points
- 7 The moments of Hardy's function
- 8 The primitive of Hardy's function
- 9 The Mellin transforms of powers of Z(t)
- 10 Further results on ℳk(s) and Zk(s)
- 11 On some problems involving Hardy's function and zeta-moments
- References
- Author index
- Subject index
Summary
- Type
- Chapter
- Information
- The Theory of Hardy's Z-Function , pp. 99 - 108Publisher: Cambridge University PressPrint publication year: 2012